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Finding the Fourth Proportional to 182.16, 271.44 and 171.36

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Solution

The fourth proportional to 182.16, 271.44 and 171.36 is: 255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 271.44 = 171.36 : x
  2. Step 2: Convert to fraction form
    182.16/271.44 = 171.36/x
  3. Step 3: Cross multiply
    182.16x = 271.44 × 171.36
  4. Step 4: Simplify right side
    182.16x = 46,513.96
  5. Step 5: Solve for x
    x = 46,513.96/182.16
  6. Step 6: Final answer
    x = 255.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.